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taurus [48]
3 years ago
7

A pathway divides a rectangular garden into two parts as shown. Find the measure of angle A

Mathematics
2 answers:
frosja888 [35]3 years ago
4 0

Answer:

m < A = 101 degrees.

Step-by-step explanation:

The transverse line crosses 2 parallel lines (opposite angles of a rectangle are parallel) ,  so the same side angles add up to 180 degrees.

m < A + 79 = 180

m < A = 101 degrees.

Diano4ka-milaya [45]3 years ago
4 0

Answer:

A=101°

Step-by-step explanation:

The two lengths of the rectangle are parallel and therefore the sides of the path form two parallel transversals.

The angle marked 79° and the angle marked A are supplementary ( they add up to 180°)

A+79=180°

A=180-79

=101°

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FOR WHICH POLYGON ARE BOTH x= -1 and y= -2 lines of symmetry? ILL BRAINLIEST YOU IF YOU GET IT RIGHT HELP ME PLZ
snow_lady [41]

Answer:

C

Step-by-step explanation:

The line of symmetry is a line that splits the figure into 2 halves where each half is a mirror image of the other. In the third figure, if a line is drawn through x = -1, the halves mirror each other. If a line is drawn through y = -2, the top and bottom halves mirror each other.

3 0
2 years ago
A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Show a
nexus9112 [7]

Answer:

24 cubic inches

Step-by-step explanation:

The formulas for the volume of a cylinder and cone are ...

volume of a cylinder = πr^2·h

volume of a cone = (1/3)πr^2·h

For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...

(1/3)·(72 cubic inches) = 24 cubic inches

3 0
3 years ago
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
Please help me I really need these to be answered. Whoever does it gets 100 points!
Galina-37 [17]

Answer:

1. C

2. B

3. B

4. A

5. B

Step-by-step explanation:

if u dont mind giving me brainliest im just tryna rank up.

3 0
2 years ago
Read 2 more answers
Answer questions 15 and 17 show work pls
fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

<h2>#15:</h2>

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

  • 1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

  • 1/2(12) * 5

Multiply 12 and 1/2 together.

  • 6 * 5

Multiply 6 and 5.

  • 30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

<h2>#17:</h2>

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

  • 2 / 4 = 1/2

The answer is B. 1/2.

6 0
3 years ago
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